A Sydney mother has won her fight against a campervan hire company's "misogynistic slogans", as a petition she started gained more than 110,000 signatures.

Paula Orbea launched the campaign targeting Wicked Campers after her 11-year-old daughter noticed a passing van with the slogan, "In every princess, there's a little slut who wants to try it just once".

After four days, the Change.org campaign has resulted in a written apology from Wicked Campers owner, John Webb, and a guarantee to "acknowledge the prevailing community opinion by removing the slogan in question and making a commitment over the coming six months to changing slogans of an insensitive nature".